Question

Приведите к наименьшему обшему знаминателю дробы 3/8 фи 1/6 3/4 и 5/14 5/9 и 2/27 3/8 и 2/9 2/15 и 5/18 2/9,3/4 и 5/12

Answer 1

3/8 и 1/6⇒ 9/24 и 4/24
3/4 и 5/14⇒ 21/28 и 10/28
5/9 и 2/27⇒ 15/27 и 2/27
3/8 и 2/9⇒ 27/72 и 16/72
2/15 и 5/18⇒ 12/90 и 25/90
3/4 и 5/12⇒ 9/12 и 5/12

Answer 2

Finding the Least Common Denominator (LCD) of Fractions

To find the least common denominator (LCD) of fractions, we need to determine the smallest number that is divisible by all the denominators involved. In this case, we have the following fractions:

- 3/8, 1/6, 3/4, and 5/14 - 5/9 and 2/27 - 3/8 and 2/9 - 2/15 and 5/18 - 2/9, 3/4, and 5/12

Let's find the LCD for each set of fractions.

Finding the LCD for 3/8, 1/6, 3/4, and 5/14

The denominators for these fractions are 8, 6, 4, and 14. To find the LCD, we need to find the smallest number that is divisible by all these denominators. One way to find the LCD is by finding the least common multiple (LCM) of the denominators.

The LCM of 8, 6, 4, and 14 is 168.

Finding the LCD for 5/9 and 2/27

The denominators for these fractions are 9 and 27. The LCM of 9 and 27 is 27.

Finding the LCD for 3/8 and 2/9

The denominators for these fractions are 8 and 9. The LCM of 8 and 9 is 72.

Finding the LCD for 2/15 and 5/18

The denominators for these fractions are 15 and 18. The LCM of 15 and 18 is 90.

Finding the LCD for 2/9, 3/4, and 5/12

The denominators for these fractions are 9, 4, and 12. The LCM of 9, 4, and 12 is 36.

Therefore, the least common denominator (LCD) for all the given fractions is 168.

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